Holomorphic mappings between spaces of different dimensions. I.
Peichu Hu (1993)
Mathematische Zeitschrift
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Peichu Hu (1993)
Mathematische Zeitschrift
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Robert Molzon (1983)
Mathematische Zeitschrift
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W. Klingenberg, S. Pinchuk (1991)
Mathematische Zeitschrift
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Takeo Ohsawa, Kensho Takegoshi (1987)
Mathematische Zeitschrift
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Armen Edigarian (2004)
Annales Polonici Mathematici
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We characterize proper holomorphic self-mappings 𝔾₂ → 𝔾₂ for the symmetrized bidisc 𝔾₂ = {(λ₁+λ₂,λ₁λ₂): |λ₁|,|λ₂| < 1} ⊂ ℂ².
Takeo Ohsawa (1995)
Mathematische Zeitschrift
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Pham Ngoc Mai, Do Duc Thai, Le Tai Thu (2004)
Annales Polonici Mathematici
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Generalizations of the theorem of Forelli to holomorphic mappings into complex spaces are given.
Paul M. Gauthier (1970)
Mathematische Zeitschrift
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Maciej P. Denkowski (2005)
Annales Polonici Mathematici
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The aim of this paper is to study the Łojasiewicz exponent of c-holomorphic mappings. After introducing an order of flatness for c-holomorphic mappings we give an estimate of the Łojasiewicz exponent in the case of isolated zero, which is a generalization of the one given by Płoski and earlier by Chądzyński for two variables.
Franz Schnitzer, Wladimir Seidel (1965)
Mathematische Zeitschrift
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Shinji Yamashita (1977)
Mathematische Zeitschrift
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Viêt-Anh Nguyên (2009)
Colloquium Mathematicae
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We describe a part of the recent developments in the theory of separately holomorphic mappings between complex analytic spaces. Our description focuses on works using the technique of holomorphic discs.
F. Berteloot, S. Pinchuk (1995)
Mathematische Zeitschrift
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W. Seidel, F. Schnitzer, J.S. Hwang (1971)
Mathematische Zeitschrift
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Ralf Hollstein (1984/85)
Mathematische Zeitschrift
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Yifei Pan (1991)
Mathematische Zeitschrift
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Piotr Liczberski, Jerzy Połubiński (2002)
Annales Polonici Mathematici
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We continue our previous work on a problem of Janiec connected with a uniqueness theorem, of Cartan-Gutzmer type, for holomorphic mappings in ℂⁿ. To solve this problem we apply properties of (j;k)-symmetrical functions.